Best Known (3, 3+17, s)-Nets in Base 32
(3, 3+17, 64)-Net over F32 — Constructive and digital
Digital (3, 20, 64)-net over F32, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
(3, 3+17, 452)-Net in Base 32 — Upper bound on s
There is no (3, 20, 453)-net in base 32, because
- 1 times m-reduction [i] would yield (3, 19, 453)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 40068 551937 317260 637887 009816 > 3219 [i]